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Finding the Third Proportional to 23,699 and 34,675

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Solution

The third proportional to 23,699 and 34,675 is: 50,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699 : 34,675 = 34,675 : x
  2. Step 2: Convert to fraction form
    23,699/34,675 = 34,675/x
  3. Step 3: Cross multiply
    23,699x = 34,675 × 34,675
  4. Step 4: Simplify right side
    23,699x = 1,202,355,625
  5. Step 5: Solve for x
    x = 1,202,355,625/23,699
  6. Step 6: Final answer
    x = 50,734.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.